Given:
m = -3
b = 2/3
Asked: Equation of the line, Equation of a line that is parallel, and Equation of a line that is perpendicular.
Solution:
A. Equation of the line :
y = -3x + 2/3
B. Equation of the line that is parallel:
Slope of a line that is parallel = m = -3
y = -3x + 5 (you may know that two lines are parallel if they have the same slope)
C. Equation of the line that is perpendicular:
Slope of a line that is parallel = -1/m = -1/-3 = 1/3
y = 1/3x + 2/3